| 一类泛函微分方程的渐近稳定性分析 |
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| 引用本文： | 徐道义 黎明. 一类泛函微分方程的渐近稳定性分析[J]. 四川师范大学学报(自然科学版), 1994, 17(5): 12-17 |
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| 作者姓名： | 徐道义 黎明 |
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| 作者单位： | 四川师范大学数学系，曲靖师范专科学校 |
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| 摘 要： | ＷａｎｇＷ．Ｊ．（１９９１）利用Ｌｙａｐｕｎｏｖ函数的方法，研究了一类大型时滞系统的渐近稳定性．本文则用参数变易公式，Ｍ－矩阵及不等式技巧讨论更一般的泛函微分方程的渐近稳定性，在两种特殊情况下，推广了ＷａｎｇＷ．Ｊ（１９９１）的结果，并且获得的条件更易于检验，应用于ＷａｎｇＷ．Ｊ．（１９９１）给出的实例，扩大了其不确定参数允许扰动的界限．
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| 关 键 词： | 泛函微分方程，渐近稳定性，大型时滞系统 |
ASYMPTOTIC STABILITY ANALYSIS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| Xu Daoyi. ASYMPTOTIC STABILITY ANALYSIS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS[J]. Journal of Sichuan Normal University(Natural Science), 1994, 17(5): 12-17 |
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| Authors: | Xu Daoyi |
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| Abstract: | Recently Wang W. J. investigates the asymptotic stability of a class of large-scale delay differential system by the Lyapunov method. This paper discusses the asymptotic stability of a class of general functional differential equations by using variation of parameter formula, M-Matrices and inequality approach. The sufficent conditions for asymptotic stability obtained in this paper are easily checked and extend Wang's result under two kinds of special cases. By applying our conditions the bounds of parameter perturbation in Wang's example are enlarged. |
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| Keywords: | functional differential equation asymptotic stability large-scale delay system |
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